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Finding the Third Proportional to 619,086.38 and 1,341,221.63

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Solution

The third proportional to 619,086.38 and 1,341,221.63 is: 2,905,693.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,086.38 : 1,341,221.63 = 1,341,221.63 : x
  2. Step 2: Convert to fraction form
    619,086.38/1,341,221.63 = 1,341,221.63/x
  3. Step 3: Cross multiply
    619,086.38x = 1,341,221.63 × 1,341,221.63
  4. Step 4: Simplify right side
    619,086.38x = 1,798,875,447,367.64
  5. Step 5: Solve for x
    x = 1,798,875,447,367.64/619,086.38
  6. Step 6: Final answer
    x = 2,905,693.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.